Luis is making chocolate chip cookies. The recipe calls for 1/8 cup of almonds for every 3/4 cup of chocolate chips. If Luis uses 3 cups of chocolate chips, how many cups of almonds will he need? Round to the nearest tenth.

A. 0.4 cup
B. 0.5 cup
C. 18.0 cups
D. 0.8 cup

1 answer

Since the recipe calls for 1/8 cup of almonds for every 3/4 cup of chocolate chips, we can set up the proportion:

1/8 cup almonds / 3/4 cup chocolate chips = x cup almonds / 3 cups chocolate chips.

Next, we can cross multiply to solve for x:

(1/8) * 3 = (3/4) * x

3/8 = 3/4 * x

To isolate x, we can divide both sides by 3/4:

(3/8) / (3/4) = (3/4 * x) / (3/4)

(3/8) * (4/3) = x

12/24 = x

Simplifying, we get:

1/2 = x

Therefore, Luis will need 0.5 cup of almonds.

The answer is B. 0.5 cup.